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Theorem nfcsb1d 2880
 Description: Bound-variable hypothesis builder for substitution into a class. (Contributed by Mario Carneiro, 12-Oct-2016.)
Hypothesis
Ref Expression
nfcsb1d.1
Assertion
Ref Expression
nfcsb1d

Proof of Theorem nfcsb1d
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 df-csb 2853 . 2
2 nfv 1421 . . 3
3 nfcsb1d.1 . . . 4
43nfsbc1d 2780 . . 3
52, 4nfabd 2196 . 2
61, 5nfcxfrd 2176 1
 Colors of variables: wff set class Syntax hints:   wi 4   wcel 1393  cab 2026  wnfc 2165  wsbc 2764  csb 2852 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-sbc 2765  df-csb 2853 This theorem is referenced by:  nfcsb1  2881
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